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Test Ideal
A test ideal is a positive characteristic analog of a multiplier ideal In commutative algebra, the multiplier ideal associated to a sheaf of ideals Ideal may refer to: Philosophy * Ideal (ethics), values that one actively pursues as goals * Platonic ideal, a philosophical idea of trueness of form, associated with ... in, say, the field of complex numbers. Test ideals are used in the study of singularities in algebraic geometry in positive characteristic. References Commutative algebra {{commutative-algebra-stub ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
Multiplier Ideal
In commutative algebra, the multiplier ideal associated to a sheaf of ideals Ideal may refer to: Philosophy * Ideal (ethics), values that one actively pursues as goals * Platonic ideal, a philosophical idea of trueness of form, associated with Plato Mathematics * Ideal (ring theory), special subsets of a ring considered ... over a complex variety and a real number ''c'' consists (locally) of the functions ''h'' such that : \frac is locally integrable, where the ''f''''i'' are a finite set of local generators of the ideal. Multiplier ideals were independently introduced by (who worked with sheaves over complex manifolds rather than ideals) and , who called them adjoint ideals. Multiplier ideals are discussed in the survey articles , , and . Algebraic geometry In algebraic geometry, the multiplier ideal of an effective \mathbb- divisor measures singularities coming from the fractional parts of ''D''. Multiplier ideals are often applied in tandem with vanishing theorems ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |
American Mathematical Society
The American Mathematical Society (AMS) is an association of professional mathematicians dedicated to the interests of mathematical research and scholarship, and serves the national and international community through its publications, meetings, advocacy and other programs. The society is one of the four parts of the Joint Policy Board for Mathematics and a member of the Conference Board of the Mathematical Sciences. History The AMS was founded in 1888 as the New York Mathematical Society, the brainchild of Thomas Fiske, who was impressed by the London Mathematical Society on a visit to England. John Howard Van Amringe was the first president and Fiske became secretary. The society soon decided to publish a journal, but ran into some resistance, due to concerns about competing with the American Journal of Mathematics. The result was the '' Bulletin of the American Mathematical Society'', with Fiske as editor-in-chief. The de facto journal, as intended, was influential ... [...More Info...] [...Related Items...] OR: [Wikipedia] [Google] [Baidu] |